What is the effect on the graph of f(x) = 1/x when it is transformed to
g(x) = 1/x -10?
x
A. The graph of f(x) is shifted 10 units to the left.
B. The graph of f(x) is shifted 10 units to the right.
C. The graph of f(x) is shifted 10 units up.
D. The graph of f(x) is shifted 10 units down.

Consider the triangle ABD and triangle CBD.

Thus, triangle ABD is simillar to triangle CBD.

One example of a nonempty subset u of R^2 such that u is closed under scalar multiplication, but u is not a subspace of R^2, is the set u = {(x, y) | x, y are rational numbers}.

This set is closed under scalar multiplication as if a and (x,y) are in u, a*(x,y) will also be in u because rational numbers are closed under multiplication.

A subset can be described with different properties, one of them is closure, a subset U is closed under an operation if the operation is applied to any two elements of U, and the result is also an element of U.

In mathematics, a subset is a set that is completely contained within another set. It is defined as a set U that is a part of a set S, such that every element of U is also an element of S. The notation used to indicate that U is a subset of S is U ⊆ S.

However, this set u is not a subspace of R^2 because it doesn't contain the zero vector (0,0) and it doesn't close under addition, as the sum of two rational numbers may not be a rational number.

Therefore, One example of a nonempty subset u of R^2 such that u is closed under scalar multiplication, but u is not a subspace of R^2, is the set u = {(x, y) | x, y are rational numbers}.

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So, The question asks us for the Vertical Component.

Answer:

Hi! I hope this helps!  I believe your Vertical Component is 1.

Step-by-step explanation:

In order to find the vertical component of the vector, you have to know the Initial and Terminal point of the Vector.  

So, The question asks us for the Vertical Component.

The Vertical component is simply the  'y' in a plane coordinate or (x,y).

It is as follows: Terminal:  (4,-7)  Initial: (9,-8)  

Remember the Formula (Xₜ-Xᵢ, Yₜ-Yᵢ)  

So, 'Y' or the Vertical Component: -7-(-8) or -7+8 equals 1.

Your Vertical Component is 1.

X or Horizontal component: 4-9 = -5

The points on the scatter plot show the different predictions. The straight line drawn is called the line of regression.

Errors in prediction for each point can be determined by drawing a vertical line from the point to the line of regression. As seen in the image, all of the prediction points are found on the line except for points (14,25) and (16,25). Therefore, these points contain errors in prediction.

The graph that represent this data using the points is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The x and y values

Where

x = stars

y = price

To determine the graph that represent the data, we enter the x and y values in a graphing tool to create the graph

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Answer:

0-4 should go up to 1     5-9 should go up to 3     10-14 should go up to 4     15-19 should go up to 5        20-14 should go up to 2

Step-by-step explanation:

Hope this helps!

Answer:

c!

Step-by-step explanation:

Answer:

D. -11

Step-by-step explanation:

Imagine 14-3, and that gets you 11, but this is 3-14, so it would be the negative of that number

Answer:

  C.  d = 24g

Step-by-step explanation:

The problem boils down to determining the ratio between d and g. That is, for some equation ...

  d = k·g

we want to determine the value of k. Solving the equation for that value, we find ...

  k = d/g

So, we need only to read a point from the graph with sufficient accuracy to determine a good estimate for k.

  (gallons, miles) = (g, d) = (5, 120) is a suitable point

Then ...

  k = d/g = 120/5 = 24

The equation is d = 24g.

An order-preserving function is one where x < y implies f(x) < f(y). An isomorphism is a one-to-one order-preserving function between two partially ordered sets, while an automorphism is an isomorphism of a set to itself.

In the given excerpt, it explains the concepts of order-preserving functions, isomorphisms, and automorphisms in the context of partially ordered sets.

Order-Preserving Function:

A function f: P -> Q, where P and Q are partially ordered sets, is said to be order-preserving if for any elements x and y in P, if x < y, then f(x) < f(y). In other words, the function preserves the order relation between elements in P when mapped to elements in Q.

Increasing Function:

If P and Q are linearly ordered sets, then an order-preserving function is also referred to as an increasing function. It means that for any elements x and y in P, if x < y, then f(x) < f(y).

Isomorphism:

A one-to-one function f: P -> Q is called an isomorphism of P and Q if it satisfies two conditions:

a. f is order-preserving: For any elements x and y in P, if x < y, then f(x) < f(y).

b. f is onto (surjective): Every element in Q has a pre-image in P.

When an isomorphism exists between (P, <) and (Q, <), it means that the two partially ordered sets have a structure that is preserved under the isomorphism. In other words, they have the same ordering relationships.

Automorphism:

An automorphism of a partially ordered set (P, <) is an isomorphism from P to itself. It means that the function f: P -> P is both order-preserving and bijective (one-to-one and onto). Essentially, an automorphism preserves the structure and order relationships within the same partially ordered set.

These concepts are fundamental in understanding the relationships and mappings between partially ordered sets, particularly in terms of preserving order, finding correspondences, and exploring the symmetry within a set.

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Answer:

B

Step-by-step explanation:

Answer:

the answer will be : 1.13

The area of the parallelogram is 32 square units

To find the area of the parallelogram, we can use the formula:

= base * height.

In this case, the base is assumed ST and we need to find the height, which is the perpendicular distance between ST and RU.

The slope of ST is (2-6)/(6-2)=-1

The slope of RU is (4-0)/(-4-0)=-1

We can use the distance formula to find the length of ST:

ST = sqrt((6-2)^2 + (2-6)^2) = √(32)

Since the slopes are equal, ST and RU are parallel.

equation of line ST

y = x

-x + y = 0

The height of the parallelogram is the distance between the line ST and the point R (-4,4). We can use the formula for the distance between a point and a line:

d = |Ax1 + By1 + C| / √(A² + B²)

-x + y = 0 equivalent to Ax + By = C

A = -1

B = 1

C = 0

d = |Ax1 + By1 + C| / √(A² + B²)

d = |-1 * -4 + 1 * 4 + 0| / √(1² + 1²) = 8/√2

Therefore, the area of the parallelogram is:

area = base x height

= ST x distance

= √(32) x 8/√2

= 32

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Answer:

C) Most people need to take out a mortgage to purchase a home.

Step-by-step explanation:

Answer:

22.5oz and 0.22$

Step-by-step explanation:

the point represented by the coordinates (-3,3) is P

the cartesian plane is defined as a two-dimensional coordinate plane, which is formed by the intersection of the x-axis and y-axis

Step 1

to locate a coordinate in the plane

a)Start from the origin when locating a point in the coordinate plane. Count in either the positive (right) or negative (left) direction along the x-axis to the number, so

for

then, move 3 unit to the left along x-axis

then

Similarly, the second number represents the position of the point on the y-axis and is accordingly named the y-coordinate.Similarly, the second number represents the position of the point on the y-axis and is accordingly named the y-coordinate.

positive up

negative down

hence

y is 3,so up 3 units

therefore,

the point represented by the coordinates (-3,3) is P

I hope this helps you

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The limit of the given function as x approaches 1 is 0.

To find the limit of the given function as x approaches 1, we need to evaluate the expression by substituting x = 1. Let's break it down step by step:

1. Begin by substituting x = 1 into the numerator:

\(\[12\sin\left(\frac{\pi}{2}\cdot 1\right)\ln(1) = 12\sin\left(\frac{\pi}{2}\right)\ln(1) = 12(1)\cdot 0 = 0\]\)

2. Now, substitute x = 1 into the denominator:

(1³ + 5)(1 - 1) = 6(0) = 0

3. Finally, divide the numerator by the denominator:

0/0

The result is an indeterminate form of 0/0, which means further analysis is required to determine the limit. To evaluate this limit, we can apply L'Hôpital's rule, which states that if we have an indeterminate form 0/0, we can take the derivative of the numerator and denominator and then evaluate the limit again. Applying L'Hôpital's rule:

4. Take the derivative of the numerator:

\(\[\frac{d}{dx}\left(12\sin\left(\frac{\pi}{2}x\right)\ln(x)\right) = 12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{x} + \frac{\sin\left(\frac{\pi}{2}x\right)\ln(x)}{x}\right)\]\)

5. Take the derivative of the denominator:

\(\[\frac{d}{dx}\left((x^3 + 5)(x - 1)\right) = \frac{d}{dx}\left(x^4 - x^3 + 5x - 5\right) = 4x^3 - 3x^2 + 5\]\)

6. Substitute x = 1 into the derivatives:

Numerator: \(\[12\left(\cos\left(\frac{\pi}{2}\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{-1}{1} + \sin\left(\frac{\pi}{2}\right) \cdot \frac{\ln(1)}{1}\right) = 0\]\)

Denominator: 4(1)³ - 3(1)² + 5 = 4 - 3 + 5 = 6

7. Now, reevaluate the limit using the derivatives:

lim as x approaches 1 of \(\[\frac{{12\left(\cos\left(\frac{\pi}{2}x\right) \cdot \left(\frac{\pi}{2}\right) \cdot \frac{{-1}}{{x}} + \sin\left(\frac{\pi}{2}x\right) \cdot \frac{{\ln(x)}}{{x}}\right)}}{{4x^3 - 3x^2 + 5}}\]\)

= 0 / 6

= 0

Therefore, the limit of the given function as x approaches 1 is 0.

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The simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

Let us solve the given algebraic expression by the long division method:

We are given the expression:

(2x^3 + 3x + 7) / (x^2 + x + 10)

We need to perform the division of the given algebraic expression:

x^2 + x + 10  ) 2x^3 + 3x + 7 ( 2x - 2

                       2x^3 + 2x^2 + 20x

                     -         -            -        

                         -2x^2 - 17x + 7

                         -2x^2 - 2x  - 20

                         +        +       +          

                                  -15x + 27

So,

quotient = 2x - 2

remainder =  -15x + 27

Thus, the simplified value of the given expression (2x^3 + 3x + 7) / (x^2 + x + 10) is: the quotient will be 2x - 2 and the remainder will be -15x + 27.

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Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Hey there!

ALL triangles has 3 sides. (Top and the two corners)

The only try that has the sides that are equal to each other is, the isosceles triangle ; the isosceles triangle is equal to 180°

Answer: ISOSCELES TRIANGLE ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Here’s an example SIDE A is EQUIVALENT (EQUAL) to SIDE B

Answer:

False a=b

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

 Given:

3 Lines

A line with points M, H, K intersects a line with points J, H, L at point H.

A line extends from point H to point P between angle K H J.

Angle M H L is 140 degrees and angle K H P is 20 degrees.

Solve:

Since, Angle M H L is 140 degrees and angle K H P is 20 degrees.

Then 140 - 20 = 120

Answer is 120

~Lenvy~

Answer:

noah

Step-by-step explanation:

liz = 10 feet/second

noah = 13.714 feet/second

brooke = 12.541 feet/second

zach = 9 feet/second

Answer:

where is the whole question

Answer:

{-2, 3, 4, 5}

General Formulas and Concepts:

Math

Algebra I

Step-by-step explanation:

According to our graph, our y-values are 3, 4, 5 and -2. Since they are all closed dots, they are inclusive in the range:

Remember to put it in number line order.

{-2, 3, 4, 5}

Answer:

Hi

You can identify which is the shortest and longest by converting the fractions to decimal or by finding the L.C.M

The longest time is 1

and the shortest is 1/4

The difference would be 1-1/4= 3/4

Answer:

Point C represents the unit rate

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

median mean the middle number (number that appears to be in the middle)

you were given a series of numbers, like in this question is quite easy because you were given five numbers. so you cancel out two from the left and two from your right the remainder is 61 and that's your median.

There are 70 grandparents, 140 parents, and 190 children in attendance at the family reunion

Given data ,

Let's denote the number of grandparents as "g", the number of parents as "p", and the number of children as "c".

Given that there were 400 people total at the family reunion, we can write the equation:

g + p + c = 400

Now , there were twice as many parents as grandparents, so we can write:

p = 2g

And we are given that there were 50 more children than parents, so we can write:

c = p + 50

Now we can use the equations (1), (2), and (3) to solve for the values of g, p, and c.

On simplifying the equation , we get

g + 2g + (2g + 50) = 400

5g + 50 = 400

5g = 400 - 50

5g = 350

g = 350 / 5

g = 70

Now we can substitute the value of g into (2) to find the value of p:

p = 2g = 2 x 70 = 140

And we can substitute the value of p into (3) to find the value of c:

c = p + 50 = 140 + 50 = 190

Hence , there were 70 grandparents, 140 parents, and 190 children in attendance at the family reunion

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Answer:

30

Step-by-step explanation:

This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).

The attached image shows the points and segments joining them.

PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).

PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.

The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.

\((\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2\)

\((QR)^2=5^2+12^2=25+144=169\\QR=\sqrt{169}=13\)

The perimeter of the triangle is 5 + 12 + 13 = 30